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010   $a3-031-89083-3
024 7 $a10.1007/978-3-031-89083-3
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035   $a(Au-PeEL)EBL32163993
035   $a(CKB)39412071000041
035   $a(DE-He213)978-3-031-89083-3
035   $a(EXLCZ)9939412071000041
100   $a20250620d2025      u|         0
101 0 $aeng
135   $aurcnu||||||||
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aIntroduction to Infinite-Equilibriums in Dynamical Systems /$fby Albert C.J Luo
205   $a1st ed. 2025.
210  1$aCham :$cSpringer Nature Switzerland :$cImprint: Springer,$d2025.
215   $a1 online resource (145 pages)
311 08$a3-031-89082-5 
327   $a Single-linear-bivariate Linear systems -- Constant and Linear-bivariate Quadratic Systems -- Single-linear-bivariate Linear and Quadratic Systems -- Single-linear-bivariate Quadratic Systems.
330   $aThis book examines infinite-equilibriums for the switching bifurcations of two 1-dimensional flows in dynamical systems. Quadratic single-linear-bivariate systems are adopted to discuss infinite-equilibriums in dynamical systems. For such quadratic dynamical systems, there are three types of infinite-equilibriums. The inflection-source and sink infinite-equilibriums are for the switching bifurcations of two parabola flows on the two-directions. The parabola-source and sink infinite-equilibriums are for the switching bifurcations of parabola and inflection flows on the two-directions. The inflection upper and lower-saddle infinite-equilibriums are for the switching bifurcation of two inflection flows in two directions. The inflection flows are for appearing bifurcations of two parabola flows on the same direction. Such switching bifurcations for 1-dimensional flow are based on the infinite-equilibriums, which will help one understand global dynamics in nonlinear dynamical systems. This book introduces infinite-equilibrium concepts and such switching bifurcations to nonlinear dynamics. Introduces the infinite-equilibriums for the switching of two 1-dimensional flows on two directions; Explains inflection-source and sink, parabola-source and source, inflection-saddle infinite-equilibriums; Develops parabola flows and inflections flows for appearing of two parabola flows.
606   $aDynamics
606   $aNonlinear theories
606   $aDynamics
606   $aMultibody systems
606   $aVibration
606   $aMechanics, Applied
606   $aEngineering mathematics
606   $aEngineering$xData processing
606   $aApplied Dynamical Systems
606   $aDynamical Systems
606   $aMultibody Systems and Mechanical Vibrations
606   $aMathematical and Computational Engineering Applications
615  0$aDynamics.
615  0$aNonlinear theories.
615  0$aDynamics.
615  0$aMultibody systems.
615  0$aVibration.
615  0$aMechanics, Applied.
615  0$aEngineering mathematics.
615  0$aEngineering$xData processing.
615 14$aApplied Dynamical Systems.
615 24$aDynamical Systems.
615 24$aMultibody Systems and Mechanical Vibrations.
615 24$aMathematical and Computational Engineering Applications.
676   $a515.39
700   $aLuo$b Albert C. J$0720985
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9911011771603321
996   $aIntroduction to Infinite-Equilibriums in Dynamical Systems$94400402
997   $aUNINA